Find two consecutive even numbers such that three times the smaller added to eight times the greater comes to 170
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Answer:
Step-by-step explanation:
Given:-
The smaller added to eight times the greater comes to 170.
To Find :-
Two consecutive even numbers.
Solution :-
Let the smaller number be n and the larger number n+2.
Then 3n+8(n+2) = 170.
⇒ 3n + 8n + 16 = 170.
⇒ 11n + 16 = 170.
⇒ 11n = 170 – 16 = 154.
⇒ n = 154/11 = 14.
Hence, the two numbers consecutive even numbers are 14 and 16.
Checking :-
= 3 × 14 + 8 × 16
= 42 + 128
= 170.
[CORRECT]
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